Use Newton's method to approximate a root of the equation In(4x) = arctan(x - 0.2) as follows. Let #₁ = 0.1 be the initial approximation. The fourth approximation 4 is and the fifth approximation is
Use Newton's method to approximate a root of the equation In(4x) = arctan(x - 0.2) as follows. Let #₁ = 0.1 be the initial approximation. The fourth approximation 4 is and the fifth approximation is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use Newton's method to approximate a root of the equation \( \ln(4x) = \arctan(x - 0.2) \) as follows. Let \( x_1 = 0.1 \) be the initial approximation.
The fourth approximation \( x_4 \) is
\[ \underline{\hspace{5cm}} \]
and the fifth approximation \( x_5 \) is
\[ \underline{\hspace{5cm}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F442cdeaf-d6f5-4c90-9eca-defd0049fe9f%2Fd7a57f1b-72a8-45f3-a207-c04159787c56%2Fb6fkdnt_processed.png&w=3840&q=75)
Transcribed Image Text:Use Newton's method to approximate a root of the equation \( \ln(4x) = \arctan(x - 0.2) \) as follows. Let \( x_1 = 0.1 \) be the initial approximation.
The fourth approximation \( x_4 \) is
\[ \underline{\hspace{5cm}} \]
and the fifth approximation \( x_5 \) is
\[ \underline{\hspace{5cm}} \]
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